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A Study of Bernhard Riemann's 1859 Paper

On the Number of Primes Less Than a Given Magnitude

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The primary purpose of this book is to deeply study Bernhard Riemann's seminal 1859 paper: "On the Number of Primes Less Than a Given Magnitude". Our goal in this book is to provide rigorous proofs for all of the proofs and (provable) assertions in Riemann's Paper. Of course, that necessarily excludes the Riemann Hypothesis. While Riemann's Paper is our focus, our study would be incomplete without also noting some of the advances made as a result of his paper. Most notably, we provide two proofs of the Prime Number Theorem.

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A Study of Bernhard Riemann's 1859 Paper, Terrence P. Murphy

Sprache
Erscheinungsdatum
2020
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Titel
A Study of Bernhard Riemann's 1859 Paper
Untertitel
On the Number of Primes Less Than a Given Magnitude
Sprache
Englisch
Erscheinungsdatum
2020
Einband
Paperback
Seitenzahl
182
ISBN10
0996167137
ISBN13
9780996167130
Reihe
Beschreibung
The primary purpose of this book is to deeply study Bernhard Riemann's seminal 1859 paper: "On the Number of Primes Less Than a Given Magnitude". Our goal in this book is to provide rigorous proofs for all of the proofs and (provable) assertions in Riemann's Paper. Of course, that necessarily excludes the Riemann Hypothesis. While Riemann's Paper is our focus, our study would be incomplete without also noting some of the advances made as a result of his paper. Most notably, we provide two proofs of the Prime Number Theorem.